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Question 1 Rewrite as a sum of logarithms using the Product Rule of Logarithms. Do not evaluate the logarithm. \( \log (9 x) \) \( \square \) Next Question

Ask by Moran Paul. in the United States
Mar 15,2025

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\( \log(9x) = \log(9) + \log(x) \)

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Bonus Knowledge

Did you know that the Product Rule of Logarithms states that the logarithm of a product is equal to the sum of the logarithms? So, when you have \( \log (9 x) \), you can break it down beautifully to \( \log 9 + \log x \). This is a super handy trick for simplifying expressions! Logarithmic properties have fascinating real-world applications, especially in fields like acoustics, where sound intensity is measured in decibels using logarithms. So, when musicians fine-tune their instruments or engineers design sound systems, they’re often crunching those logs to get the perfect balance!

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